A joint similarity problem for n -tuples of operators on vector-valued Bergman spaces

Constantin, Olivia (2010) A joint similarity problem for n -tuples of operators on vector-valued Bergman spaces. Journal of Functional Analysis, 258 (8). pp. 2682-2694. ISSN 0022-1236. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL
http://dx.doi.org/10.1016/j.jfa.2009.10.012

Abstract

We investigate n-tuples of commuting Foias–Williams/Peller type operators acting on vector-valued weighted Bergman spaces. We prove that a commuting n-tuple of such operators is jointly (completely) polynomially bounded if and only if it is similar to an n-tuple of contractions, if and only if each of the n operators is polynomially bounded.

Item Type: Article
Uncontrolled keywords: Hankel operators; Joint polynomial boundedness; Joint similarity to an n-tuple of contractions; Vector-valued Bergman spaces
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: Olivia Constantin
Date Deposited: 05 Oct 2012 10:49
Last Modified: 25 Jan 2013 15:18
Resource URI: https://kar.kent.ac.uk/id/eprint/31285 (The current URI for this page, for reference purposes)
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